Answer:
The solution is 10/9
Step-by-step explanation:
Step 1: identify the right approach:
Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.
Step 2: Perform the calculation:
As shown in picture,
x = 0 => g(x) = -7
x = 9 => g(x) = 3
=> The change of x over interval [0, 9] is:
x_change = 9 - 0 = 9
=> The change of g(x) over interval [0, 9] is:
g(x)_change = 3 - (-7) = 10
=> The average rate (r) of change of g(x) over interval [0, 9] is:
r = g(x)_change/x_change = 10/9
Hop this helps!
:)
